Marine virtual testbed is a problematic solving environment for virtual experiments conducting to study the behavior of marine objects in various conditions. These conditions may cover cases that are either very difficult or dangerous for model or natural experiments. In addition, the numerical experiment is always cheaper. To ensure the necessary accuracy at the reproduction of maritime object behavior under the action of external excitations it is necessary to have appropriate mathematical models. For effective apply of these models, numerical implementation using the advantages and features of the hardware is needed.

This article discusses the interaction of wind trochoidal waves with the maritime object in a complete formulation, taking into account the forces of Frouda-Krylov, and the diffraction component. Mathematical description of wind waves and subsurface currents is given. Modeling of vertical fluid particle oscillations is considered using finite differences. Full-fledged trocoidal waves are considered taking into account the dispersion of visible and group velocities of waves.

As a result, both the hydrostatic formulation of ship moving by arbitrary course on a stormotable waves, and complete hydrodynamic modeling, taking into account the local flow rates near the ship hull and reflection of waves are modeled in the numerical experiment.